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Finding the Fourth Proportional to 3,257.00, 4,885.13 and 1,065.54

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Solution

The fourth proportional to 3,257.00, 4,885.13 and 1,065.54 is: 1,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.00 : 4,885.13 = 1,065.54 : x
  2. Step 2: Convert to fraction form
    3,257.00/4,885.13 = 1,065.54/x
  3. Step 3: Cross multiply
    3,257.00x = 4,885.13 × 1,065.54
  4. Step 4: Simplify right side
    3,257.00x = 5,205,296.09
  5. Step 5: Solve for x
    x = 5,205,296.09/3,257.00
  6. Step 6: Final answer
    x = 1,598.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.